10052001 has 6 divisors (see below), whose sum is σ = 14519570. Its totient is φ = 6701328.

The previous prime is 10051997. The next prime is 10052017. The reversal of 10052001 is 10025001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7952400 + 2099601 = 2820^2 + 1449^2 .

It is not a de Polignac number, because 10052001 - 2² = 10051997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1116889 = 10052001 / (1 + 0 + 0 + 5 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 558436 + ... + 558453.

Almost surely, 2^10052001 is an apocalyptic number.

It is an amenable number.

10052001 is a deficient number, since it is larger than the sum of its proper divisors (4467569).

10052001 is a wasteful number, since it uses less digits than its factorization.

10052001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116895 (or 1116892 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10052001 is about 3170.4890789908. The cubic root of 10052001 is about 215.8162660817.

Adding to 10052001 its reverse (10025001), we get a palindrome (20077002).

Subtracting from 10052001 its reverse (10025001), we obtain a cube (27000 = 30³).

The spelling of 10052001 in words is "ten million, fifty-two thousand, one".